Difference of The Squares

The difference of the squares of two consecutive numbers is equal to the sum of two numbers: As:

(i) 3 x 3 – 2 x 2 = 3 + 2 = 5

(ii) 9 x 9 – 8 x 8 = 9 + 8 = 17

(iii) 25 x 25 – 24 x 24 = 25 + 24 = 49

(iv) 217 x 217 – 216 x 216 = 217 + 216 = 433


You may write the difference of the squares of two given consecutive numbers:

(i) 76 x 76 – 75 x 75 = _______ .

(ii) 115 x 115 – 114 x 114 = _______ .

(iii) 137 x 137 – 136 x 136 = _______ .

(iv) 376 x 376 – 375 x 375 = _______ .

(v) 695 x 695 - 694 x 694 = _______ .


Check the answers: 

(i) 76 x 76 – 75 x 75

= 76 + 75

= 151.

Answer: 151


(ii) 115 x 115 – 114 x 114

= 115 + 114

= 229.

Answer: 229



(iii) 137 x 137 – 136 x 136

= 137 + 136

= 273.

Answer: 273



(iv) 376 x 376 – 375 x 375

= 376 + 375

= 751.

Answer: 751



(v) 695 x 695 - 694 x 694

= 695 + 694

= 1389.

Answer: 1389

Related Concept

Patterns and Mental Mathematics

Counting Numbers in Proper Pattern

Odd Numbers Patterns

Three Consecutive Numbers

Number Formed by Any Power

Product of The Number

Magic Square

Square of a Number

Difference of The Squares

Multiplied by Itself

Puzzle

Patterns

Systems of Numeration








4th Grade Math Activities

From Difference of The Squares to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

    May 18, 24 02:59 PM

    Rules for Comparison of Numbers
    Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

    Read More

  2. Numbers | Notation | Numeration | Numeral | Estimation | Examples

    May 12, 24 06:28 PM

    Numbers are used for calculating and counting. These counting numbers 1, 2, 3, 4, 5, .......... are called natural numbers. In order to describe the number of elements in a collection with no objects

    Read More

  3. Face Value and Place Value|Difference Between Place Value & Face Value

    May 12, 24 06:23 PM

    Face Value and Place Value
    What is the difference between face value and place value of digits? Before we proceed to face value and place value let us recall the expanded form of a number. The face value of a digit is the digit…

    Read More

  4. Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns

    May 12, 24 06:09 PM

    Complete the Series Patterns
    We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r…

    Read More

  5. Worksheet on Bar Graphs | Bar Graphs or Column Graphs | Graphing Bar

    May 12, 24 04:59 PM

    Bar Graph Worksheet
    In math worksheet on bar graphs students can practice the questions on how to make and read bar graphs or column graphs. Test your knowledge by practicing this graphing worksheet where we will

    Read More